Only natural?

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Equations over Sets of Natural Numbers with Addition Only

Systems of equations of the form X = Y Z and X = C are considered, in which the unknowns are sets of natural numbers, “+” denotes pairwise sum of sets S+T = {m + n | m ∈ S, n ∈ T}, and C is an ultimately periodic constant. It is shown that such systems are computationally universal, in the sense that for every recursive (r.e., co-r.e.) set S ⊆ N there exists a system with a unique (least, great...

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ژورنال

عنوان ژورنال: Nature

سال: 1986

ISSN: 0028-0836,1476-4687

DOI: 10.1038/322023b0